Least Common Multiple of 3044 and 3048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3044 and 3048 the smallest integer that is 2319528 that is divisible by both numbers.

Least Common Multiple (LCM) of 3044 and 3048 is 2319528.

LCM(3044,3048) = 2319528

LCM of 3044 and 3048

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3044 and 3048

LCM of 3044 and 3048 is 2319528

Least common multiple can be found by multiplying the highest exponent prime factors of 3044 and 3048. First we will calculate the prime factors of 3044 and 3048.

Prime Factorization of 3044


2 3044
2 1522
761 761
1

Prime factors of 3044 are 2,761. Prime factorization of 3044 in exponential form is:

3044 = 22×7611

Prime Factorization of 3048


2 3048
2 1524
2 762
3 381
127 127
1

Prime factors of 3048 are 2, 3,127. Prime factorization of 3048 in exponential form is:

3048 = 23×31×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3044 and 3048.

LCM(3044,3048) = 23×31×1271×7611
LCM(3044,3048) = 2319528

Factors of 3044

List of positive integer factors of 3044 that divides 3044 without a remainder.

1, 2, 4, 761, 1522, 3044

Factors of 3048

List of positive integer factors of 3048 that divides 3048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048

Least Common Multiple of 3044 and 3048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3044 and 3048, than apply into the LCM equation.

GCF(3044,3048) = 4
LCM(3044,3048) = ( 3044 × 3048) / 4
LCM(3044,3048) = 9278112 / 4
LCM(3044,3048) = 2319528

Properties of LCM 3044 and 3048

(i) The LCM of 3048 and 3044 is associative

LCM of 3044 and 3048 = LCM of 3048 and 3044

Related Least Common Multiples of 3044

Related Least Common Multiples of 3048

Frequently Asked Questions on LCM of 3044 and 3048

1. What is the LCM of 3044 and 3048?

Answer: LCM of 3044 and 3048 is 2319528.

2. What are the Factors of 3044?

Answer: Factors of 3044 are 1, 2, 4, 761, 1522, 3044. There are 6 integers that are factors of 3044. The greatest factor of 3044 is 3044.

3. What are the Factors of 3048?

Answer: Factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048. There are 16 integers that are factors of 3048. The greatest factor of 3048 is 3048.

4. How to Find the LCM of 3044 and 3048?

Answer:

Least Common Multiple of 3044 and 3048 = 2319528

Step 1: Find the prime factorization of 3044

3044 = 2 x 2 x 761

Step 2: Find the prime factorization of 3048

3048 = 2 x 2 x 2 x 3 x 127

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2319528 = 2 x 2 x 2 x 3 x 127 x 761

Step 4: Therefore, the least common multiple of 3044 and 3048 is 2319528.